Question

Why does the equation y = 3x + 5 not represent a proportional relationship?​

Answer 1

Check the explanation provided

Explanation:

This equation does not represent a proportional relationship because it's graph does not pass through the origin (i.e. 0,0)

`y = mx + c`

where m = gradient OR slope

= 3

c = y-intercept

= 5

For the equation to have a proportional relationship, the value of c MUST BE '0’

Answer 2

Proportional relationship between two quantities x and y means that the quotient y/x stays constant, i.e. that there is a constant c such that y=cx. In our case we have that y=3x+5 which means that x and y are NOT proportional.